Details

Time bar (total: 2.6s)

analyze46.0ms

Algorithm
search

sample32.0ms

Algorithm
intervals
Results
14.0ms76×body1280valid
5.0ms46×body640valid
2.0ms96×body80valid
2.0ms28×body320valid
1.0ms10×body160valid
0.0msbody80invalid

simplify60.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0113
1183
2263
3483
41103
53183
616233
750013

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 30.2b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

2.6b
(- (exp (* a x)) 1.0)

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
1 → 14
Calls
1 calls:
4.0ms
(- (exp (* a x)) 1.0)

series7.0ms

Counts
1 → 3
Calls
1 calls:
7.0ms
(- (exp (* a x)) 1.0)

simplify38.0ms

Algorithm
egg-herbie
Counts
17 → 17
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
0103100
130092
2105590
3500190

prune46.0ms

Filtered
12 candidates to 17 candidates (-41.7%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New11617
Fresh000
Picked101
Done000
Total12618

Merged error: 7.9b

Counts
18 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(cbrt (- (exp (* a x)) 1.0))
2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
cbrt-prod add-cube-cbrt
pow1 add-exp-log flip3-- add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
sub-neg diff-log
cbrt-div
pow1/3
Counts
4 → 57
Calls
4 calls:
3.0ms
(cbrt (- (exp (* a x)) 1.0))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)

series46.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (- (exp (* a x)) 1.0))
9.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
0172466
1517418
22052400
35002398

prune142.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New65469
Fresh055
Picked101
Done000
Total66975

Merged error: 7.9b

Counts
75 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

1.0b
(log (exp (cbrt (- (exp (* a x)) 1.0))))
2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt *-un-lft-identity
10×add-log-exp
log-pow
exp-prod
add-cube-cbrt
pow1 cbrt-prod
add-exp-log add-cbrt-cube distribute-lft-out-- difference-of-squares
sub-neg log-prod flip3-- diff-log flip--
rem-log-exp
Counts
4 → 62
Calls
4 calls:
5.0ms
(log (exp (cbrt (- (exp (* a x)) 1.0))))
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)

series45.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(log (exp (cbrt (- (exp (* a x)) 1.0))))
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)

simplify67.0ms

Algorithm
egg-herbie
Counts
74 → 74
Iterations

Useful iterations: 3 (60.0ms)

IterNodesCost
0197478
1552417
22110399
35001397

prune165.0ms

Filtered
52 candidates to 74 candidates (-42.3%)
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New72274
Fresh088
Picked101
Done000
Total731083

Merged error: 7.9b

Counts
83 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)
2.6b
(- (exp (* a x)) 1.0)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity add-log-exp
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- diff-log add-cbrt-cube flip-- distribute-lft-out-- difference-of-squares
Counts
4 → 56
Calls
4 calls:
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)
4.0ms
(- (exp (* a x)) 1.0)

series31.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)
7.0ms
(- (exp (* a x)) 1.0)
10.0ms
(- (exp (* a x)) 1.0)

simplify42.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 2 (10.0ms)

IterNodesCost
0103400
1300368
21055360
35001360

prune176.0ms

Filtered
48 candidates to 68 candidates (-41.7%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New68068
Fresh099
Picked011
Done000
Total681078

Merged error: 7.9b

Counts
78 → 10

regimes542.0ms

Accuracy

92.5% (1.6b remaining)

Error of 9.7b against oracle of 8.1b and baseline of 29.3b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03936
13936

end0.0ms

analyze41.0ms

Algorithm
search

sample920.0ms

Algorithm
intervals
Results
457.0ms2629×body1280valid
152.0ms1324×body640valid
70.0ms2890×body80valid
68.0ms784×body320valid
20.0ms373×body160valid
4.0ms151×body80invalid

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